Question

If ∆ABC ~ ∆PQR and m∠A=40, m∠B=50 then m∠R=?​

Answer 1

Step-by-step explanation:

Δ ABC ~Δ PQR

m∠A=m∠P=40°

m∠B=m∠Q=50°

m∠C=m∠R=90°

m∠R=90°

Answer 2

Given,

The triangles ABC and PQR are similar.

The measure of angle A$\[ = 40^\circ \]$

The measure of angle B$\[ = 50^\circ \]$

Solution,

Know that in two similar triangles the corresponding angles are equal.

Here, the measure of angle C is

$\[\begin{array}{l} = 180^\circ - \left( {50^\circ + 40^\circ } \right)\\ = 180^\circ - 90^\circ \\ = 90^\circ \end{array}\]$

As the triangles are similar.

Therefore,

$\[ \Rightarrow \angle R = 90^\circ \]$

Hence, the measure of angle R is $\[90^\circ .\]$